HOMOGENEOUS SPECTRUM OF QUASI-PERIODIC GEVREY SCHRODINGER OPERATORS WITH DIOPHANTINE FREQUENCY

被引：2

作者：

Yang, Yan ^{[1
]}

Tao, Kai ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, 1 Xikang Rd, Nanjing 210098, Jiangsu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年

关键词：

Homogeneous spectrum; Gevrey potential; Diophantine frequency; quasi-periodic Schr?dinger operator; large coupling number; DENSITY-OF-STATES; ANDERSON LOCALIZATION; HOLDER CONTINUITY; GAPS;

D O I：

10.3934/dcds.2022166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the quasi-periodic Schrodinger operator with the non-degenerate Gevrey potential for the Diophantine frequency. We prove that if the coupling constant of the potential is large enough, then the spectrum is homogeneous.

引用

页码：688 / 714

页数：27

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